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math.RT2026
Noncommutative Cluster Varieties and Moduli Spaces of Local Systems
Zachary Greenberg, Dani Kaufman, Merik Niemeyer +1
In this article, we construct noncommutative cluster varieties, , for each reduced root system and marked surface simultaneously generalizing the cluster…
math.RT2024
Noncommutative Polygonal Cluster Algebras
Zachary Greenberg, Dani Kaufman, Merik Niemeyer +1
We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein-…